bifurcation
bifurcation
Definition
bi·fur·ca·tion (bī′fər kā′s̸hən)
noun
- the act or fact of bifurcating
- the place where this occurs
bifurcation
Usage Examples
Preposition: of
- equilibria: The paper provides a very readable introduction into the basic mathematical tools for studying existence and local bifurcation of relative equilibria.
Converse of object
- fold: This is shown by the fold bifurcation in the second order model.
- undergo: The sequence of diagrams above shows the stable set, denoted by the blue curve, undergoing a type-2 contact bifurcation.
- slide: The project has observed some interesting phenomena, including grazing bifurcations and possibly grazing sliding bifurcations.
Adjective modifier
- homoclinic: An analysis of this homoclinic bifurcation is performed in a general frame.
- subcritical: The first bifurcation of the vertically upward position is a " reverse " subcritical pitchfork bifurcation denoted by PF2.
- supercritical: In both cases, the stable solutions emanating from supercritical pitchfork bifurcations underwent period-doubling cascades leading to chaos.
- carotid: METHODS: Two unusual cases of primary HPT caused by an ectopic PA located at the carotid bifurcation are reported.
- global: There one finds a similar behavior in the local and the global bifurcation.
Modifies a noun
- diagram: Our results are extended by numerical methods giving a more detailed bifurcation diagram.
- theory: The onset of chaos is often studied by bifurcation theory.
- analysis: In the second half a large number of examples are provided, often with some bifurcation analysis involved.
- phenomenon: As one result we detect bifurcation phenomena which do not exist in this form for smooth systems.
- parameter: The output time constant is used as bifurcation parameter, yielding to chaos and unstable periodic orbits.
Noun used with modifier
- codimension-two: We have also shown that the eigenvalue classification scheme of [ 1 ] cannot be used to directly classify the codimension-two bifurcations.
- period-doubling: We denote these bifurcations as " reverse " period-doubling bifurcations.
- pitchfork: The equilibrium is supposed to undergo a reversible pitchfork bifurcation, controlled by the system's parameter.
- saddle-node: It also marks the change in stability along the saddle-node bifurcation curve S.
- two-parameter: Their use in a continuation setting is shown with one- and two-parameter bifurcation studies of a transmission line model.
- grazing: Stephen Foale and Steve Bishop presented their elegant study of grazing bifurcations in impacting systems, relevant to the rattling of engineering structures.
Browse dictionary entries near bifurcation
- bifurcate
- bifteck
- Bifrost
- biform
- bifoliolate
- bifoliate
- bifocals
- bifocal
- biflagellate
- bifilar
- big
- Big Apple
- big band
- Big Bang
- big-bang theory
- Big Ben
- Big Blue
- Big Board
- big brother
- big business
